3y+5=-4y+8

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Solution for 3y+5=-4y+8 equation:


Simplifying
3y + 5 = -4y + 8

Reorder the terms:
5 + 3y = -4y + 8

Reorder the terms:
5 + 3y = 8 + -4y

Solving
5 + 3y = 8 + -4y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '4y' to each side of the equation.
5 + 3y + 4y = 8 + -4y + 4y

Combine like terms: 3y + 4y = 7y
5 + 7y = 8 + -4y + 4y

Combine like terms: -4y + 4y = 0
5 + 7y = 8 + 0
5 + 7y = 8

Add '-5' to each side of the equation.
5 + -5 + 7y = 8 + -5

Combine like terms: 5 + -5 = 0
0 + 7y = 8 + -5
7y = 8 + -5

Combine like terms: 8 + -5 = 3
7y = 3

Divide each side by '7'.
y = 0.4285714286

Simplifying
y = 0.4285714286

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